The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)

Question

The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)

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Dulcie 3 years 2021-08-30T23:44:06+00:00 2 Answers 17 views 0

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    0
    2021-08-30T23:45:38+00:00

    The angle is 35 degrees

    (180 – x) = 2(90 – x) + 35
    180 – x = 180 – 2x + 35
    180 – x = 215 – 2x
    180 + x = 215
    x = 35

    Check:
    180 – 35 = 145 supplement
    90 – 35 = 55 complement
    55*2 = 110 twice the complement
    110 + 35 = 145 🙂

    0
    2021-08-30T23:45:46+00:00

    Answer:

    35 degrees

    Step-by-step explanation:

    (180-x)= supplement

    (90-x)=complement

    (180-x)-2(90-x)=35

    180-x-180+2x=35

    x=35

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